Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum

DOI10.1080/026811199281994zbMath0936.34057OpenAlexW2033080545WikidataQ115301205 ScholiaQ115301205MaRDI QIDQ4700092

Dirk Roose, Koen Engelborghs

Publication date: 7 December 1999

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/026811199281994

zbMATH Keywords

periodic solutionsneutral functional-differential equationsmoothness and bifurcation

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items

Emergence of quasiperiodic regimes in a neutral delay model of flute-like instruments: influence of the detuning between resonance frequencies ⋮ Numerical bifurcation analysis of delay differential equations ⋮ Retarded differential equations ⋮ Collocation schemes for periodic solutions of neutral delay differential equations

Uses Software

• COLNEW

Cites Work

• Ordinary differential equations which yield periodic solutions of differential delay equations
• Uniqueness and nonuniqueness of periodic solutions of x'(t)= -g(x(t-1))
• Collocation Software for Boundary Value Differential-Algebraic Equations
• Resonant codimension two bifurcation in a neutral functional differential equation
• Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations
• On the construction of periodic solutions of kaplan-yorke type for some differential delay equations
• Bifurcation Analysis of Periodic Solutions of Neural Functional Differential Equations: A Case Study

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